Laplace transform of Bessel functions

Dear all,

I would like to ask if anyone of you knows where to get the Laplace transform of the following function:

f(t) = I_n(a*t) * J_m(b*sqrt{t})

With

**I_n()** = Modified Bessel function of the first kind, of integer order **n**

**J_m()** = Bessel function of the first kind, of integer order **m**

**a,b** = real numbers

I was trying to look up in the book

A.P. Prudnikov, "Integrals and series, vol. 4 Laplace transforms"

but is not available in my library until march 8th! (Crying)

I thank your kind help,

Home-made-bread.